Modern Trends in Structural and Solid Mechanics 2

Vibrations

Noel Challamel, Julius Kaplunov, Izuru Takewaki

• Publisher: Wiley-ISTE
• Year: 2021
• Print ISBN: 9781786307156
• eBook ISBN: 9781119831846
• Edition: 1
• Topic: Physical Sciences
• Subtopic: Mechanics

This book – comprised of three separate volumes – presents the recent developments and research discoveries in structural and solid mechanics; it is dedicated to Professor Isaac Elishakoff. This second volume is devoted to the vibrations of solid and structural members.

Modern Trends in Structural and Solid Mechanics 2 has broad scope, covering topics such as: exact and approximate vibration solutions of rods, beams, membranes, plates and three-dimensional elasticity problems, Bolotins dynamic edge effect, the principles of plate theories in dynamics, nano- and microbeams, nonlinear dynamics of shear extensible beams, the vibration and aeroelastic stability behavior of cellular beams, the dynamic response of elastoplastic softening oscillators, the complex dynamics of hysteretic oscillators, bridging waves, and the three-dimensional propagation of waves.

This book is intended for graduate students and researchers in the field of theoretical and applied mechanics.

Table of contents

• Cover
• Table of Contents
• Title Page
• Copyright
• Preface: Short Bibliographical Presentation of Prof. Isaac Elishakoff
• 1 Bolotin’s Dynamic Edge Effect Method Revisited (Review)
• 2 On the Principles to Derive Plate Theories
• 3 A Softening–Hardening Nanomechanics Theory for the Static and Dynamic Analyses of Nanorods and Nanobeams: Doublet Mechanics
• 4 Free Vibration of Micro-Beams and Frameworks Using the Dynamic Stiffness Method and Modified Couple Stress Theory
• 5 On the Geometric Nonlinearities in the Dynamics of a Planar Timoshenko Beam
• 6 Statics, Dynamics, Buckling and Aeroelastic Stability of Planar Cellular Beams
• 7 Collapse Limit of Structures under Impulsive Loading via Double Impulse Input Transformation
• 8 Nonlinear Dynamics and Phenomena in Oscillators with Hysteresis
• 9 Bridging Waves on a Membrane: An Approach to Preserving Wave Patterns
• 10 Dynamic Soil Stiffness of Foundations Supported by Layered Half-Space
• List of Authors
• Index
• Summary of Volume 1
• Summary of Volume 3
• End User License Agreement